Quant Boosters - Kamal Lohia - Set 8


  • Faculty and Content Developer at Tathagat | Delhi College of Engineering


    Q6) A group of worker was put on a job. From the second day onward, one worker was withdrawn each day. The job was finished when the last worker was withdrawn. If no worker was withdrawn at any stage, the group would have finished the work in two-third time. How many worker were there in the group?
    a. 2
    b. 3
    c. 5
    d. 10
    e. None of these


  • Faculty and Content Developer at Tathagat | Delhi College of Engineering


    Q7) The price of a car rises by 30% while the sales come down by 20%. What is the percent change in total revenue? [CAT1996]
    a. -4
    b. -2
    c. +4
    d. +2


  • Faculty and Content Developer at Tathagat | Delhi College of Engineering


    Q8) A is 50% as efficient as B. C does half the work done by A & B together. If C alone does the work in 40 days, then in how many days will A alone can do the work?
    a. 30 days
    b. 40 days
    c. 45 days
    d. 50 days
    e. 60 days


  • Faculty and Content Developer at Tathagat | Delhi College of Engineering


    Q9) A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?
    a. 12 days
    b. 15 days
    c. 16 days
    d. 18 days


  • Faculty and Content Developer at Tathagat | Delhi College of Engineering


    Q10) 2/5 of voters promise to vote for P and the rest promised to vote for Q. Of these, 15% of the voters went back of their promise to vote for P and 25% of the voters went back of their promise to vote for Q and P lost by 2 votes. Then total number of voters is
    a. 100
    b. 110
    c. 90
    d. 95


  • Faculty and Content Developer at Tathagat | Delhi College of Engineering


    Q11) A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?
    a. Rs. 375
    b. Rs. 400
    c. Rs. 600
    d. Rs. 800


  • Faculty and Content Developer at Tathagat | Delhi College of Engineering


    Q12) The rate of inflation was 1000%. Then what will be the cost of an article, which cots 6 units of currency now, two years from now? [CAT1995]
    a. 666
    b. 660
    c. 720
    d. 726


  • Faculty and Content Developer at Tathagat | Delhi College of Engineering


    Q13) A student took five papers in an examination, where the full marks were same for each paper. His marks in these papers were in the proportion of 6:7:8:9:10. In all papers together, the candidate obtained 60% of the total marks. Then the number of papers in which he got more than 50% marks is [CAT2001]
    a. 2
    b. 3
    c. 4
    d. 5


  • Faculty and Content Developer at Tathagat | Delhi College of Engineering


    Q14) I bought 5 pens, 7 pencils and 4 erasers. Rajan bought 6 pens, 8 erasers and 14 pencils for an amount which was half more than what I paid. What percent of the total paid by me was for pens? [CAT1996]
    a. 37.5%
    b. 62.5%
    c. 50%
    d. None of these


  • Faculty and Content Developer at Tathagat | Delhi College of Engineering


    Q15) Given the equation (5/2)x - b = (8/5)x + 142, find the smallest positive integer b such that the solution x is a positive integer.


  • Faculty and Content Developer at Tathagat | Delhi College of Engineering


    Q16) Solve for x if (x - a - b)/c + (x - b - c)/a + (x - c - a)/b = 3 and ab + bc + ca ≠ 0.


  • Faculty and Content Developer at Tathagat | Delhi College of Engineering


    Q17) Find the condition for 'a' such that equation |ax - 2y - 3| + |5x + 9| = 0 has the solution (x, y) where x, y have same sign


  • Faculty and Content Developer at Tathagat | Delhi College of Engineering


    Q18) Find the number of positive integer solutions of the equation 123x + 57y = 531.


  • Faculty and Content Developer at Tathagat | Delhi College of Engineering


    Q19) Find all x which satisfy the equation x^4 - 12x^3 + 47x^2 - 60x = 0.


  • Faculty and Content Developer at Tathagat | Delhi College of Engineering


    Q20) Given |x - 2| < 3, solve the equation |x + 1| + |x - 3| + |x - 5| = 8.


  • Faculty and Content Developer at Tathagat | Delhi College of Engineering


    Q21) Find real x such that x|x| - 3|x| - 4 = 0


  • Faculty and Content Developer at Tathagat | Delhi College of Engineering


    Q22) For how many integers (m, n) whose absolute value is less than 7, the system of equations 3x + my - 5 = 0 and x + ny - 4 = 0 has no solution?


  • Faculty and Content Developer at Tathagat | Delhi College of Engineering


    Q23) Assume the equation 2x² + x + a = 0 has the solution set A, and the equation 2x² + bx + 2 = 0 has the solution set B, and A ⋂ B = {1/2}, find A ⋃ B


  • Faculty and Content Developer at Tathagat | Delhi College of Engineering


    Q24) Find real valued solutions (x, y, z) for the equation √(x) + √(y - 1) + √(z - 2) = (x + y + z)/2.


  • Faculty and Content Developer at Tathagat | Delhi College of Engineering


    Q25) Solve the equation (x + 1)/(x + 4) - (x + 4)/(x + 1) + (x + 1)/(x - 2) - (x - 2)/(x + 1) = 2/3.


 

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